
from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload




class 			UpperCAmelCase_     :


  '''simple docstring'''







  def __init__(					self     :					Optional[int]     ,				UpperCamelCase__     :					Collection[float] | None = None       )     ->      None:







    """simple docstring"""






    if components is None:
      __magic_name__								=			[]
    __magic_name__								=			list(UpperCamelCase__       )
  def __len__(					self     :					int       )     ->      int:







    """simple docstring"""






    return len(self.__components       )
  def __str__(					self     :					int       )     ->      str:







    """simple docstring"""






    return "(" + ",".join(map(UpperCamelCase__     ,				self.__components       )       ) + ")"
  def __add__(					self     :					Any     ,				UpperCamelCase__     :					Vector       )     ->      Vector:







    """simple docstring"""






    __magic_name__								=			len(self       )
    if size == len(UpperCamelCase__       ):
      __magic_name__								=			[self.__components[i] + other.component(UpperCamelCase__       ) for i in range(UpperCamelCase__       )]
      return Vector(UpperCamelCase__       )
    else:
      raise Exception("""must have the same size"""       )
  def __sub__(					self     :					Optional[int]     ,				UpperCamelCase__     :					Vector       )     ->      Vector:







    """simple docstring"""






    __magic_name__								=			len(self       )
    if size == len(UpperCamelCase__       ):
      __magic_name__								=			[self.__components[i] - other.component(UpperCamelCase__       ) for i in range(UpperCamelCase__       )]
      return Vector(UpperCamelCase__       )
    else:  # error case
      raise Exception("""must have the same size"""       )
  @overload
  def __mul__(					self     :					int     ,				UpperCamelCase__     :					float       )     ->      Vector:







    """simple docstring"""






    ...
  @overload
  def __mul__(					self     :					Optional[int]     ,				UpperCamelCase__     :					Vector       )     ->      float:







    """simple docstring"""






    ...
  def __mul__(					self     :					int     ,				UpperCamelCase__     :					float | Vector       )     ->      float | Vector:







    """simple docstring"""






    if isinstance(UpperCamelCase__     ,				(float, int)       ):
      __magic_name__								=			[c * other for c in self.__components]
      return Vector(UpperCamelCase__       )
    elif isinstance(UpperCamelCase__     ,				UpperCamelCase__       ) and len(self       ) == len(UpperCamelCase__       ):
      __magic_name__								=			len(self       )
      __magic_name__								=			[self.__components[i] * other.component(UpperCamelCase__       ) for i in range(UpperCamelCase__       )]
      return sum(UpperCamelCase__       )
    else:  # error case
      raise Exception("""invalid operand!"""       )
  def 				_lowercase				(					self     :					List[str]       )     ->      Vector:







    """simple docstring"""






    return Vector(self.__components       )
  def 				_lowercase				(					self     :					Any     ,				UpperCamelCase__     :					int       )     ->      float:







    """simple docstring"""






    if isinstance(UpperCamelCase__     ,				UpperCamelCase__       ) and -len(self.__components       ) <= i < len(self.__components       ):
      return self.__components[i]
    else:
      raise Exception("""index out of range"""       )
  def 				_lowercase				(					self     :					Dict     ,				UpperCamelCase__     :					int     ,				UpperCamelCase__     :					float       )     ->      None:







    """simple docstring"""






    assert -len(self.__components       ) <= pos < len(self.__components       )
    __magic_name__								=			value
  def 				_lowercase				(					self     :					int       )     ->      float:







    """simple docstring"""






    if len(self.__components       ) == 0:
      raise Exception("""Vector is empty"""       )
    __magic_name__								=			[c**2 for c in self.__components]
    return math.sqrt(sum(UpperCamelCase__       )       )





  def 				_lowercase				(					self     :					List[Any]     ,				UpperCamelCase__     :					Vector     ,				UpperCamelCase__     :					bool = False       )     ->      float:







    """simple docstring"""






    __magic_name__								=			self * other
    __magic_name__								=			self.euclidean_length() * other.euclidean_length()
    if deg:
      return math.degrees(math.acos(num / den       )       )
    else:
      return math.acos(num / den       )







def a__       (			A_   ):






  '''simple docstring'''





  assert isinstance(A_,	A_   )
  return Vector([0] * dimension   )

def a__       (			A_,	A_   ):






  '''simple docstring'''





  assert isinstance(A_,	A_   ) and (isinstance(A_,	A_   ))
  __magic_name__								=			[0] * dimension
  __magic_name__								=			1
  return Vector(A_   )

def a__       (			A_,	A_,	A_   ):






  '''simple docstring'''





  assert (
      isinstance(A_,	A_   )
      and isinstance(A_,	A_   )
      and (isinstance(A_,	(int, float)   ))
  )
  return x * scalar + y

def a__       (			A_,	A_,	A_   ):






  '''simple docstring'''





  random.seed(A_   )
  __magic_name__								=			[random.randint(A_,	A_   ) for _ in range(A_   )]
  return Vector(A_   )




class 			UpperCAmelCase_     :


  '''simple docstring'''







  def __init__(					self     :					Tuple     ,				UpperCamelCase__     :					list[list[float]]     ,				UpperCamelCase__     :					int     ,				UpperCamelCase__     :					int       )     ->      None:







    """simple docstring"""






    __magic_name__								=			matrix
    __magic_name__								=			w
    __magic_name__								=			h
  def __str__(					self     :					int       )     ->      str:







    """simple docstring"""






    __magic_name__								=			""""""
    for i in range(self.__height       ):
      ans += "|"
      for j in range(self.__width       ):
        if j < self.__width - 1:
          ans += str(self.__matrix[i][j]       ) + ","
        else:
          ans += str(self.__matrix[i][j]       ) + "|\n"
    return ans
  def __add__(					self     :					Dict     ,				UpperCamelCase__     :					Matrix       )     ->      Matrix:







    """simple docstring"""






    if self.__width == other.width() and self.__height == other.height():
      __magic_name__								=			[]
      for i in range(self.__height       ):
        __magic_name__								=			[
            self.__matrix[i][j] + other.component(UpperCamelCase__     ,				UpperCamelCase__       )
            for j in range(self.__width       )
        ]
        matrix.append(UpperCamelCase__       )
      return Matrix(UpperCamelCase__     ,				self.__width     ,				self.__height       )
    else:
      raise Exception("""matrix must have the same dimension!"""       )
  def __sub__(					self     :					Dict     ,				UpperCamelCase__     :					Matrix       )     ->      Matrix:







    """simple docstring"""






    if self.__width == other.width() and self.__height == other.height():
      __magic_name__								=			[]
      for i in range(self.__height       ):
        __magic_name__								=			[
            self.__matrix[i][j] - other.component(UpperCamelCase__     ,				UpperCamelCase__       )
            for j in range(self.__width       )
        ]
        matrix.append(UpperCamelCase__       )
      return Matrix(UpperCamelCase__     ,				self.__width     ,				self.__height       )
    else:
      raise Exception("""matrices must have the same dimension!"""       )
  @overload
  def __mul__(					self     :					List[Any]     ,				UpperCamelCase__     :					float       )     ->      Matrix:







    """simple docstring"""






    ...
  @overload
  def __mul__(					self     :					int     ,				UpperCamelCase__     :					Vector       )     ->      Vector:







    """simple docstring"""






    ...
  def __mul__(					self     :					int     ,				UpperCamelCase__     :					float | Vector       )     ->      Vector | Matrix:







    """simple docstring"""






    if isinstance(UpperCamelCase__     ,				UpperCamelCase__       ):  # matrix-vector
      if len(UpperCamelCase__       ) == self.__width:
        __magic_name__								=			zero_vector(self.__height       )
        for i in range(self.__height       ):
          __magic_name__								=			[
              self.__matrix[i][j] * other.component(UpperCamelCase__       )
              for j in range(self.__width       )
          ]
          ans.change_component(UpperCamelCase__     ,				sum(UpperCamelCase__       )       )
        return ans
      else:
        raise Exception(
            """vector must have the same size as the """
            """number of columns of the matrix!"""       )
    elif isinstance(UpperCamelCase__     ,				(int, float)       ):  # matrix-scalar
      __magic_name__								=			[
          [self.__matrix[i][j] * other for j in range(self.__width       )]
          for i in range(self.__height       )
      ]
      return Matrix(UpperCamelCase__     ,				self.__width     ,				self.__height       )
    return None
  def 				_lowercase				(					self     :					Dict       )     ->      int:







    """simple docstring"""






    return self.__height
  def 				_lowercase				(					self     :					Optional[Any]       )     ->      int:







    """simple docstring"""






    return self.__width
  def 				_lowercase				(					self     :					int     ,				UpperCamelCase__     :					int     ,				UpperCamelCase__     :					int       )     ->      float:







    """simple docstring"""






    if 0 <= x < self.__height and 0 <= y < self.__width:
      return self.__matrix[x][y]
    else:
      raise Exception("""change_component: indices out of bounds"""       )
  def 				_lowercase				(					self     :					List[str]     ,				UpperCamelCase__     :					int     ,				UpperCamelCase__     :					int     ,				UpperCamelCase__     :					float       )     ->      None:







    """simple docstring"""






    if 0 <= x < self.__height and 0 <= y < self.__width:
      __magic_name__								=			value
    else:
      raise Exception("""change_component: indices out of bounds"""       )
  def 				_lowercase				(					self     :					str     ,				UpperCamelCase__     :					int     ,				UpperCamelCase__     :					int       )     ->      float:







    """simple docstring"""






    if self.__height != self.__width:
      raise Exception("""Matrix is not square"""       )
    __magic_name__								=			self.__matrix[:x] + self.__matrix[x + 1 :]
    for i in range(len(UpperCamelCase__       )       ):
      __magic_name__								=			minor[i][:y] + minor[i][y + 1 :]
    return Matrix(UpperCamelCase__     ,				self.__width - 1     ,				self.__height - 1       ).determinant()
  def 				_lowercase				(					self     :					Tuple     ,				UpperCamelCase__     :					int     ,				UpperCamelCase__     :					int       )     ->      float:







    """simple docstring"""






    if self.__height != self.__width:
      raise Exception("""Matrix is not square"""       )
    if 0 <= x < self.__height and 0 <= y < self.__width:
      return (-1) ** (x + y) * self.minor(UpperCamelCase__     ,				UpperCamelCase__       )
    else:
      raise Exception("""Indices out of bounds"""       )





  def 				_lowercase				(					self     :					Any       )     ->      float:







    """simple docstring"""






    if self.__height != self.__width:
      raise Exception("""Matrix is not square"""       )
    if self.__height < 1:
      raise Exception("""Matrix has no element"""       )
    elif self.__height == 1:
      return self.__matrix[0][0]
    elif self.__height == 2:
      return (
          self.__matrix[0][0] * self.__matrix[1][1]
          - self.__matrix[0][1] * self.__matrix[1][0]
      )
    else:
      __magic_name__								=			[
          self.__matrix[0][y] * self.cofactor(0     ,				UpperCamelCase__       ) for y in range(self.__width       )
      ]
      return sum(UpperCamelCase__       )







def a__       (			A_   ):






  '''simple docstring'''





  __magic_name__								=			[[0] * n for _ in range(A_   )]
  return Matrix(A_,	A_,	A_   )





def a__       (			A_,	A_,	A_,	A_   ):






  '''simple docstring'''





  random.seed(A_   )
  __magic_name__								=			[
      [random.randint(A_,	A_   ) for _ in range(A_   )] for _ in range(A_   )
  ]
  return Matrix(A_,	A_,	A_   )



import random
import unittest

from torch.utils.data import BatchSampler, DataLoader, IterableDataset

from accelerate import Accelerator
from accelerate.data_loader import (
    BatchSamplerShard,
    DataLoaderDispatcher,
    DataLoaderShard,
    IterableDatasetShard,
    SkipBatchSampler,
    SkipDataLoader,
    skip_first_batches,
)




class 			UpperCAmelCase_     (					_A	):


  '''simple docstring'''







  def __init__(					self     :					Optional[int]     ,				UpperCamelCase__     :					Optional[Any]=0.01     ,				UpperCamelCase__     :					Tuple=1000       )     ->      str:







    """simple docstring"""






    __magic_name__								=			p_stop
    __magic_name__								=			max_length





  def __iter__(					self     :					Union[str, Any]       )     ->      Dict:







    """simple docstring"""






    __magic_name__								=			0
    __magic_name__								=			False
    while not stop and count < self.max_length:
      yield count
      count += 1
      __magic_name__								=			random.random() < self.p_stop







class 			UpperCAmelCase_     (					unittest.TestCase	):


  '''simple docstring'''







  def 				_lowercase				(					self     :					Optional[Any]     ,				UpperCamelCase__     :					Union[str, Any]     ,				UpperCamelCase__     :					Tuple     ,				UpperCamelCase__     :					str=False     ,				UpperCamelCase__     :					Optional[Any]=True       )     ->      Dict:







    """simple docstring"""






    __magic_name__								=			[
        BatchSamplerShard(UpperCamelCase__     ,				2     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				even_batches=UpperCamelCase__       )
        for i in range(2       )
    ]
    __magic_name__								=			[list(UpperCamelCase__       ) for batch_sampler_shard in batch_sampler_shards]
    if not split_batches:
      self.assertListEqual([len(UpperCamelCase__       ) for shard in batch_sampler_shards]     ,				[len(UpperCamelCase__       ) for e in expected]       )
    self.assertListEqual(UpperCamelCase__     ,				UpperCamelCase__       )
  def 				_lowercase				(					self     :					Any       )     ->      Union[str, Any]:







    """simple docstring"""






    __magic_name__								=			BatchSampler(range(24       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14], [18, 19, 20]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17], [21, 22, 23]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(24       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    # Expected shouldn't change
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )

    # Check the shards when the dataset is a round multiple of batch size but not total batch size.
    __magic_name__								=			BatchSampler(range(21       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14], [18, 19, 20]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17], [0, 1, 2]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(21       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )

    # Check the shards when the dataset is not a round multiple of batch size but has a multiple of
    # num_processes batch.
    __magic_name__								=			BatchSampler(range(22       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14], [18, 19, 20]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17], [21, 0, 1]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(22       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )

    # Check the shards when the dataset is not a round multiple of batch size but and has not a multiple of
    # num_processes batch.
    __magic_name__								=			BatchSampler(range(20       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14], [18, 19, 0]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17], [1, 2, 3]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(20       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )

    # Check the shards when the dataset is very small.
    __magic_name__								=			BatchSampler(range(2       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[[[0, 1, 0]], [[1, 0, 1]]]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(2       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[[], []]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__       )
  def 				_lowercase				(					self     :					Tuple       )     ->      int:







    """simple docstring"""






    __magic_name__								=			BatchSampler(range(24       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17], [20, 21]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19], [22, 23]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(24       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    # Expected shouldn't change
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__       )

    # Check the shards when the dataset is not a round multiple of batch size.
    __magic_name__								=			BatchSampler(range(22       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17], [20, 21]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19], [0, 1]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(22       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__       )

    # Check the shards when the dataset is not a round multiple of batch size or num_processes.
    __magic_name__								=			BatchSampler(range(21       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17], [20, 0]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19], [1, 2]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(21       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__       )

    # Check the shards when the dataset is very small.
    __magic_name__								=			BatchSampler(range(2       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[[[0, 1]], [[0, 1]]]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(2       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[[], []]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__       )
  def 				_lowercase				(					self     :					int       )     ->      str:







    """simple docstring"""






    __magic_name__								=			BatchSampler(range(24       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14], [18, 19, 20]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17], [21, 22, 23]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(24       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    # Expected shouldn't change
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    # Check the shards when the dataset is a round multiple of batch size but not total batch size.
    __magic_name__								=			BatchSampler(range(21       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14], [18, 19, 20]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(21       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    # Check the shards when the dataset is not a round multiple of batch size but has a multiple of
    # num_processes batch.
    __magic_name__								=			BatchSampler(range(22       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14], [18, 19, 20]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17], [21]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(22       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    # Check the shards when the dataset is not a round multiple of batch size but and has not a multiple of
    # num_processes batch.
    __magic_name__								=			BatchSampler(range(20       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14], [18, 19]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(20       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1, 2], [6, 7, 8], [12, 13, 14]],
        [[3, 4, 5], [9, 10, 11], [15, 16, 17]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    # Check the shards when the dataset is very small.
    __magic_name__								=			BatchSampler(range(2       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[[[0, 1]], []]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(2       )     ,				batch_size=3     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[[], []]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       )
  def 				_lowercase				(					self     :					Optional[int]       )     ->      int:







    """simple docstring"""






    __magic_name__								=			BatchSampler(range(24       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17], [20, 21]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19], [22, 23]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(24       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    # Expected shouldn't change
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    # Check the shards when the dataset is not a round multiple of batch size.
    __magic_name__								=			BatchSampler(range(22       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17], [20, 21]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(22       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    # Check the shards when the dataset is not a round multiple of batch size or num_processes.
    __magic_name__								=			BatchSampler(range(21       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17], [20]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(21       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[
        [[0, 1], [4, 5], [8, 9], [12, 13], [16, 17]],
        [[2, 3], [6, 7], [10, 11], [14, 15], [18, 19]],
    ]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    # Check the shards when the dataset is very small.
    __magic_name__								=			BatchSampler(range(2       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[[[0, 1]], []]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				even_batches=UpperCamelCase__       )

    __magic_name__								=			BatchSampler(range(2       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			[[], []]
    self.check_batch_sampler_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				even_batches=UpperCamelCase__       )
  def 				_lowercase				(					self     :					Dict       )     ->      str:







    """simple docstring"""






    __magic_name__								=			[[0, 1, 2], [3, 4], [5, 6, 7, 8], [9, 10, 11], [12, 13]]
    __magic_name__								=			[BatchSamplerShard(UpperCamelCase__     ,				2     ,				UpperCamelCase__     ,				even_batches=UpperCamelCase__       ) for i in range(2       )]

    self.assertEqual(len(batch_sampler_shards[0]       )     ,				3       )
    self.assertEqual(len(batch_sampler_shards[1]       )     ,				2       )

    self.assertListEqual(list(batch_sampler_shards[0]       )     ,				[[0, 1, 2], [5, 6, 7, 8], [12, 13]]       )
    self.assertListEqual(list(batch_sampler_shards[1]       )     ,				[[3, 4], [9, 10, 11]]       )
  def 				_lowercase				(					self     :					int     ,				UpperCamelCase__     :					List[str]     ,				UpperCamelCase__     :					Union[str, Any]     ,				UpperCamelCase__     :					Tuple     ,				UpperCamelCase__     :					Dict=False     ,				UpperCamelCase__     :					Union[str, Any]=2     ,				UpperCamelCase__     :					Union[str, Any]=False       )     ->      Union[str, Any]:







    """simple docstring"""






    random.seed(UpperCamelCase__       )
    __magic_name__								=			list(UpperCamelCase__       )

    __magic_name__								=			[
        IterableDatasetShard(
            UpperCamelCase__     ,				batch_size=UpperCamelCase__     ,				drop_last=UpperCamelCase__     ,				num_processes=UpperCamelCase__     ,				process_index=UpperCamelCase__     ,				split_batches=UpperCamelCase__     ,				)
        for i in range(UpperCamelCase__       )
    ]
    __magic_name__								=			[]
    for iterable_dataset_shard in iterable_dataset_shards:
      # Since our random iterable dataset will be... random... we need to use a seed to get reproducible results.
      random.seed(UpperCamelCase__       )
      iterable_dataset_lists.append(list(UpperCamelCase__       )       )

    __magic_name__								=			batch_size // num_processes if split_batches else batch_size
    # All iterable dataset shard should have the same length, a round multiple of shard_batch_size
    __magic_name__								=			iterable_dataset_lists[0]
    for l in iterable_dataset_lists[1:]:
      self.assertEqual(len(UpperCamelCase__       )     ,				len(UpperCamelCase__       )       )
      self.assertTrue(len(UpperCamelCase__       ) % shard_batch_size == 0       )

    __magic_name__								=			[]
    for idx in range(0     ,				len(UpperCamelCase__       )     ,				UpperCamelCase__       ):
      for l in iterable_dataset_lists:
        observed += l[idx : idx + shard_batch_size]

    if not drop_last:
      while len(UpperCamelCase__       ) < len(UpperCamelCase__       ):
        reference += reference
    self.assertListEqual(UpperCamelCase__     ,				reference[: len(UpperCamelCase__       )]       )
  def 				_lowercase				(					self     :					Tuple       )     ->      List[str]:







    """simple docstring"""






    __magic_name__								=			42
    __magic_name__								=			RandomIterableDataset()

    self.check_iterable_dataset_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				batch_size=4     ,				drop_last=UpperCamelCase__     ,				split_batches=UpperCamelCase__       )
    self.check_iterable_dataset_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				batch_size=4     ,				drop_last=UpperCamelCase__     ,				split_batches=UpperCamelCase__       )
    self.check_iterable_dataset_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				batch_size=4     ,				drop_last=UpperCamelCase__     ,				split_batches=UpperCamelCase__       )
    self.check_iterable_dataset_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				batch_size=4     ,				drop_last=UpperCamelCase__     ,				split_batches=UpperCamelCase__       )

    # Edge case with a very small dataset
    __magic_name__								=			RandomIterableDataset(max_length=2       )

    self.check_iterable_dataset_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				batch_size=4     ,				drop_last=UpperCamelCase__     ,				split_batches=UpperCamelCase__       )
    self.check_iterable_dataset_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				batch_size=4     ,				drop_last=UpperCamelCase__     ,				split_batches=UpperCamelCase__       )
    self.check_iterable_dataset_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				batch_size=4     ,				drop_last=UpperCamelCase__     ,				split_batches=UpperCamelCase__       )
    self.check_iterable_dataset_shards(UpperCamelCase__     ,				UpperCamelCase__     ,				batch_size=4     ,				drop_last=UpperCamelCase__     ,				split_batches=UpperCamelCase__       )
  def 				_lowercase				(					self     :					List[Any]       )     ->      int:







    """simple docstring"""






    __magic_name__								=			BatchSampler(range(16       )     ,				batch_size=4     ,				drop_last=UpperCamelCase__       )
    __magic_name__								=			SkipBatchSampler(UpperCamelCase__     ,				2       )
    self.assertListEqual(list(UpperCamelCase__       )     ,				[[8, 9, 10, 11], [12, 13, 14, 15]]       )
  def 				_lowercase				(					self     :					Tuple       )     ->      str:







    """simple docstring"""






    __magic_name__								=			SkipDataLoader(list(range(16       )       )     ,				batch_size=4     ,				skip_batches=2       )
    self.assertListEqual([t.tolist() for t in dataloader]     ,				[[8, 9, 10, 11], [12, 13, 14, 15]]       )
  def 				_lowercase				(					self     :					str       )     ->      List[str]:







    """simple docstring"""






    __magic_name__								=			DataLoader(list(range(16       )       )     ,				batch_size=4       )
    __magic_name__								=			skip_first_batches(UpperCamelCase__     ,				num_batches=2       )
    self.assertListEqual([t.tolist() for t in new_dataloader]     ,				[[8, 9, 10, 11], [12, 13, 14, 15]]       )
  def 				_lowercase				(					self     :					List[str]       )     ->      Tuple:







    """simple docstring"""






    __magic_name__								=			DataLoaderShard(list(range(16       )       )     ,				batch_size=4       )
    for idx, _ in enumerate(UpperCamelCase__       ):
      self.assertEqual(dataloader.end_of_dataloader     ,				idx == 3       )

    # Test it also works on the second iteration
    for idx, _ in enumerate(UpperCamelCase__       ):
      self.assertEqual(dataloader.end_of_dataloader     ,				idx == 3       )





  def 				_lowercase				(					self     :					Tuple       )     ->      List[str]:







    """simple docstring"""






    Accelerator()
    __magic_name__								=			DataLoaderDispatcher(range(16       )     ,				batch_size=4       )
    for idx, _ in enumerate(UpperCamelCase__       ):
      self.assertEqual(dataloader.end_of_dataloader     ,				idx == 3       )

    # Test it also works on the second iteration
    for idx, _ in enumerate(UpperCamelCase__       ):
      self.assertEqual(dataloader.end_of_dataloader     ,				idx == 3       )

